Question

The ratio of the length and breadth of a rectangular field 3:2,if the area of the field 3456m^2 ,find the cost of fencing the field at rate of Rs 3.50. Per meter.

Answer 1

Cost of fencing the field is ₹840.
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Answer 2

Answer:

Cost of fencing of rectangular field is Rs 840 .

Step-by-step explanation:

Formula

Perimeter of a rectangle = 2 (Length + Breadth)

Area of a rectangle = Length × Breadth

As given

The ratio of the length and breadth of a rectangular field 3:2,if the area of the field 3456 m² .

Let us assume that y be the scalar multiple of the length and breadth of a rectangle .

Length = 3y

Breadth = 2y

Put all the values in the formula

$3456 = 3y\times 2y$

$3456 = 6y^{2}$

$y^{2}=\frac{3456}{6}$

y² = 576

√576 = 24

y = 24

Length = 3 × 24

            = 72 m

Breadth = 2 × 24

              = 48 m

Put values in the formula

Perimeter of a rectangle field = 2 × (72 + 48)

                                                  = 2 × 120

                                                  = 240 m

As given

Cost of fencing the field at rate of Rs 3.50. Per meter.

Total cost of fencing = Perimeter of  a rectangle field  × Cost of  fencing per meter .

                                  = 240 × 3.50

                                  = Rs 840

Therefore the cost of fencing of rectangular field is Rs 840 .